Dust acoustic nonlinearity of nonlinear mode in plasma to compute temporal and spatial results

Autor: Aziz Khan, Muhammad Sinan, Sumera Bibi, Kamal Shah, Manel Hleili, Bahaaeldin Abdalla, Thabet Abdeljawad
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Alexandria Engineering Journal, Vol 104, Iss , Pp 115-123 (2024)
Druh dokumentu: article
ISSN: 1110-0168
DOI: 10.1016/j.aej.2024.06.030
Popis: Our manuscript is related to use Caputo fractional order derivative (CFOD) to investigate results of non-linear mode in plasma. We establish results for both temporal and spatial approximate solution. For the require results, we use reduction perturbation method (RPM) to find the analytical solution of the dust acoustic shock waves. Further, using the same technique we find the solitary wave potential and compared the solutions obtained with another very useful technique known as Homotopy perturbation method (HPM). The comparison of results for both approaches are more precise and agreed with the exact solution of the problem. Finally, we present graphical representation for different fractional order for both temporal and spatial approximate solution.
Databáze: Directory of Open Access Journals